{"id":"https://openalex.org/W2981080014","doi":"https://doi.org/10.1109/tmc.2019.2948014","title":"Optimal ADMM-Based Spectrum and Power Allocation for Heterogeneous Small-Cell Networks with Hybrid Energy Supplies","display_name":"Optimal ADMM-Based Spectrum and Power Allocation for Heterogeneous Small-Cell Networks with Hybrid Energy Supplies","publication_year":2019,"publication_date":"2019-10-17","ids":{"openalex":"https://openalex.org/W2981080014","doi":"https://doi.org/10.1109/tmc.2019.2948014","mag":"2981080014"},"language":"en","primary_location":{"id":"doi:10.1109/tmc.2019.2948014","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmc.2019.2948014","pdf_url":null,"source":{"id":"https://openalex.org/S69141925","display_name":"IEEE Transactions on Mobile Computing","issn_l":"1536-1233","issn":["1536-1233","1558-0660","2161-9875"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Mobile Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076938763","display_name":"Liping Qian","orcid":"https://orcid.org/0000-0001-6210-2617"},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Li Ping Qian","raw_affiliation_strings":["College of Information Engineering, Zhejiang University of Technology, Hangzhou, China","National Mobile Communications Research Laboratory, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"College of Information Engineering, Zhejiang University of Technology, Hangzhou, China","institution_ids":["https://openalex.org/I55712492"]},{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009949980","display_name":"Yuan Wu","orcid":"https://orcid.org/0000-0002-2777-7915"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]},{"id":"https://openalex.org/I6469544","display_name":"City University of Macau","ror":"https://ror.org/04gpd4q15","country_code":"MO","type":"education","lineage":["https://openalex.org/I6469544"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Yuan Wu","raw_affiliation_strings":["Department of Computer and Information Science, University of Macau, Macao, China","State Key Laboratory of Internet of Things for Smart City, University of Macau, Macao, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Macau, Macao, China","institution_ids":["https://openalex.org/I204512498"]},{"raw_affiliation_string":"State Key Laboratory of Internet of Things for Smart City, University of Macau, Macao, China","institution_ids":["https://openalex.org/I6469544","https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040279482","display_name":"Bo Ji","orcid":"https://orcid.org/0000-0003-0149-7509"},"institutions":[{"id":"https://openalex.org/I84392919","display_name":"Temple University","ror":"https://ror.org/00kx1jb78","country_code":"US","type":"education","lineage":["https://openalex.org/I84392919"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bo Ji","raw_affiliation_strings":["Department of Computer and Information Sciences, Temple University, Philadelphia, PA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Sciences, Temple University, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I84392919"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100773343","display_name":"Xuemin Shen","orcid":"https://orcid.org/0000-0002-4140-287X"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Xuemin Sherman Shen","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5076938763"],"corresponding_institution_ids":["https://openalex.org/I55712492","https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":1.4477,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.82776443,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"20","issue":"2","first_page":"662","last_page":"677"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7970178127288818},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7015249729156494},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.4924808442592621},{"id":"https://openalex.org/keywords/utility-maximization-problem","display_name":"Utility maximization problem","score":0.46828123927116394},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.462777704000473},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.45965996384620667},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4579258859157562},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4385623335838318},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4325488209724426},{"id":"https://openalex.org/keywords/energy-consumption","display_name":"Energy consumption","score":0.4190785586833954},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.4130121171474457},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.20528578758239746},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18148592114448547},{"id":"https://openalex.org/keywords/utility-maximization","display_name":"Utility maximization","score":0.11591899394989014}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7970178127288818},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7015249729156494},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.4924808442592621},{"id":"https://openalex.org/C2779044140","wikidata":"https://www.wikidata.org/wiki/Q3274096","display_name":"Utility maximization problem","level":3,"score":0.46828123927116394},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.462777704000473},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.45965996384620667},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4579258859157562},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4385623335838318},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4325488209724426},{"id":"https://openalex.org/C2780165032","wikidata":"https://www.wikidata.org/wiki/Q16869822","display_name":"Energy consumption","level":2,"score":0.4190785586833954},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.4130121171474457},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.20528578758239746},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18148592114448547},{"id":"https://openalex.org/C2985793214","wikidata":"https://www.wikidata.org/wiki/Q3274096","display_name":"Utility maximization","level":2,"score":0.11591899394989014},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tmc.2019.2948014","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmc.2019.2948014","pdf_url":null,"source":{"id":"https://openalex.org/S69141925","display_name":"IEEE Transactions on Mobile Computing","issn_l":"1536-1233","issn":["1536-1233","1558-0660","2161-9875"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Mobile Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8899999856948853,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G7580480149","display_name":null,"funder_award_id":"61379122","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7647193045","display_name":null,"funder_award_id":"61572440","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8153049974","display_name":null,"funder_award_id":"CNS-1651947","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8432397322","display_name":null,"funder_award_id":"2019D11","funder_id":"https://openalex.org/F4320336270","funder_display_name":"National Mobile Communications Research Laboratory, Southeast University"},{"id":"https://openalex.org/G8608808607","display_name":null,"funder_award_id":"91638204","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320336270","display_name":"National Mobile Communications Research Laboratory, Southeast University","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1963529497","https://openalex.org/W2014084212","https://openalex.org/W2065640834","https://openalex.org/W2114102402","https://openalex.org/W2148058923","https://openalex.org/W2161615677","https://openalex.org/W2162941916","https://openalex.org/W2164278908","https://openalex.org/W2168097082","https://openalex.org/W2226306742","https://openalex.org/W2237949559","https://openalex.org/W2517132956","https://openalex.org/W2525987021","https://openalex.org/W2537899796","https://openalex.org/W2553511918","https://openalex.org/W2595019094","https://openalex.org/W2619881536","https://openalex.org/W2620378547","https://openalex.org/W2706310519","https://openalex.org/W2736036104","https://openalex.org/W2750675840","https://openalex.org/W2758471278","https://openalex.org/W2767359317","https://openalex.org/W2792845577","https://openalex.org/W2962870236","https://openalex.org/W2963568889","https://openalex.org/W2964000600","https://openalex.org/W3099777025","https://openalex.org/W3103982343","https://openalex.org/W4250589301","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W1964872188","https://openalex.org/W4237964977","https://openalex.org/W2002102264","https://openalex.org/W2187391117","https://openalex.org/W1981809986","https://openalex.org/W2267645079","https://openalex.org/W2139921619","https://openalex.org/W2740507653","https://openalex.org/W3121521771","https://openalex.org/W2513745032"],"abstract_inverted_index":{"Powering":[0],"cellular":[1,41],"networks":[2,42],"with":[3,43,89,207,226,237,252,256,264,300,310],"hybrid":[4,44,90],"energy":[5,17,45,53,66,91,108,286],"supplies":[6],"is":[7,97,187],"not":[8],"only":[9],"environment-friendly":[10],"but":[11],"can":[12,35,357],"also":[13,351],"reduce":[14],"the":[15,37,49,60,72,81,94,100,103,112,115,133,138,144,150,156,162,167,176,180,190,199,203,210,215,222,227,243,253,269,273,288,293,301,311,316,320,331,339,345,361],"on-grid":[16,65,107,285],"consumption,":[18],"thus":[19],"being":[20,209,242],"emerging":[21],"as":[22,99],"a":[23,85,124],"promising":[24],"solution":[25,140,178,225],"for":[26],"green":[27],"networking.":[28],"Intelligent":[29],"management":[30],"of":[31,51,114,149,171,205,212,230,330],"spectrum":[32,74,126,193],"and":[33,75,106,120,127,146,174,194,261,279,292],"power":[34,76,128,195,254,266],"increase":[36],"network":[38,61,88,104],"utility":[39,62,105,291,297],"in":[40,84,179,250,308,328],"supplies,":[46],"usually":[47],"at":[48,183,202,326],"cost":[50,67],"higher":[52],"consumption.":[54],"Unlike":[55],"prior":[56],"studies":[57,71],"on":[58,132,166],"either":[59],"maximization":[63,164,219],"or":[64],"minimization,":[68],"this":[69],"paper":[70],"joint":[73,125,192],"allocation":[77,129,196,259,263,267],"problem":[78,117],"that":[79,189,249,353],"maximizes":[80],"system":[82,95,274,303,321,341],"revenue":[83,96,275,322,342],"heterogeneous":[86],"small-cell":[87],"supplies.":[92],"Specifically,":[93],"considered":[98,299],"difference":[101],"between":[102],"cost.":[109],"By":[110],"developing":[111],"convexity":[113],"optimization":[116,152],"through":[118],"transformation":[119],"reparameterization,":[121],"we":[122,159],"propose":[123,161],"algorithm":[130,197,220,260,271,318,356],"based":[131,165],"primal-dual":[134],"arguments":[135],"to":[136],"obtain":[137],"optimal":[139,177,224],"by":[141,276,323],"iteratively":[142],"solving":[143],"primal":[145,157,223],"dual":[147],"sub-problems":[148],"convex":[151],"problem.":[153],"To":[154],"solve":[155],"sub-problem,":[158],"further":[160],"Lagrangian":[163,218],"alternating":[168],"direction":[169],"method":[170],"multipliers":[172],"(ADMM),":[173],"derive":[175],"closed-form":[181],"expression":[182],"each":[184],"iteration.":[185],"It":[186],"shown":[188],"proposed":[191,216,270,317,355],"approaches":[198,221],"global":[200],"optimality":[201],"rate":[204,296,334],"1=n":[206],"n":[208],"number":[211],"iterations.":[213],"Also,":[214],"ADMM-based":[217],"time":[228],"complexity":[229],"O(1=\u03b5":[231],"<sub":[232,239],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[233,240],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">r</sub>":[234,241],")":[235],"iterations":[236],"\u03b5":[238],"termination":[244],"parameter.":[245],"Simulation":[246,349],"results":[247,350],"show":[248,352],"comparison":[251,309],"control":[255],"equal":[257,265],"frequency":[258,262,313],"algorithms":[268],"increases":[272,319],"over":[277],"20":[278,324],"60":[280],"percent":[281,325],"without":[282],"consuming":[283],"more":[284],"when":[287,343],"proportional":[289,346],"fairness":[290,347],"weighted":[294,332],"sum":[295,333],"are":[298],"approximate":[302],"parameter":[304],"settings,":[305],"respectively.":[306],"Meanwhile,":[307],"full":[312],"reuse":[314],"case,":[315],"least":[327],"terms":[329],"utility,":[335],"although":[336],"it":[337],"achieves":[338],"similar":[340],"considering":[344],"utility.":[348],"our":[354],"perform":[358],"well":[359],"under":[360],"realistic":[362],"fast":[363],"fading":[364],"channel":[365],"conditions.":[366]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
